Irrational Numbers

Rational and Irrational. First describe every rational number x such that x + 1/x is an integer and then describe every irrational number y such that y + 1/y is an integer. A solution. Consider first the problem of describing every rational number x such that x + 1/x is an integer. If x + 1/x = n, then x2 – nx + 1 = 0. ................
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